Let F (x, y) be the path-independent vector field in Figure18.57. The vector field F
Chapter 18, Problem 32(choose chapter or problem)
Let F (x, y) be the path-independent vector field in Figure18.57. The vector field F associates with eachpoint a unit vector pointing radially outward. The curvesC1, C2,...,C7 have the directions shown. Consider theline integralsCiF dr,i = 1,..., 7. Without computingany integrals,(a) List all the line integrals which you expect to bezero.(b) List all the line integrals which you expect to be negative.(c) Arrange the positive line integrals in ascending order.
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